SAN BERNARDINO >> It appears election officials were correct to anticipate a surge of voters in Tuesday’s primary — at least according to final, unofficial results.

More than 30 percent of registered voters in San Bernardino County cast their ballots on and leading up to Tuesday, according to the county registrar of Voters. The turnout for Tuesday’s primary exceeded turnout in the 2012 presidential primary.

Turnout Tuesday was up among Republican and Democratic voters, but down among those not affiliated with a party — worth noting since “no party preference” registration has been rising.

The registrar’s Elections Office does not comment on turnout, spokeswoman Melissa Eikman said, but it works to make voting convenient.

“We see our role in this is providing as much convenience as we can for the voters,” Eikman said.

Statewide voter turnout also was up Tuesday. More than 33 percent of registered voters participated in the primary, up from 31 percent in 2012.

In April, Secretary of State Alex Padilla reached out to Gov. Jerry Brown’s office in anticipation of a surge in voter turnout based on increased online voter registration and high turnout in other states’ primaries.

That month, Brown signed Assembly Bill 120 providing the secretary of state and county elections offices additional funding to cover the cost of conducting Tuesday’s primary.

“All in all, the election went very well,” said Sam Mahood, spokesman for the secretary of state’s office. “Millions of Californians participated and cast a ballot. County elections officials will be busy processing and counting ballots in the coming days, and our office will be assessing any reports of issues on Election Day. We will be following up with county elections to address any outstanding issues.”

Through AB 120, county officials can request reimbursement for election costs incurred between April 26 and July 15, Mahood said.

“Funding is available for costs with conducting the June 7 primary and conducting initiative signature verification in a timely manner, which is ongoing,” he said.

Counties have not yet requested reimbursements, he said.

On Wednesday, ballot counters at the San Bernardino County Elections Office worked to process 54,000 ballots collected at polling places, 3,500 mail ballots that arrived at the office Wednesday, about 4,000 ballots from early-voting locations and more than 10,000 damaged ballots.

There are more than 26,000 provisional ballots that need to be counted, which will happen next week, Eikman said.

The next update on vote counts is scheduled for 4 p.m. today.

Mail ballots postmarked by Election Day will be counted if they are received no later than three days after the election.

County elections offices must report their final results to the secretary of state for presidential delegates by July 5 and all other offices by July 8, according to the secretary of state’s office. The state office will compile the results of the election of presidential delegates by July 9 and will certify the results of all other offices by July 15.

Eikman said overall election day went well, but some voters had questions about how to vote for presidential candidates. Nonpartisan voters were allowed to vote for Democratic, Libertarian and the American Independent candidates, but not Republican candidates.

“So we had a lot of those questions throughout the day,” she said. “We did a lot to educate voters on how that process works, but they still had those questions.”